Answer:
hey
Step-by-step explanation:
to calculate perimeter, you require length,breadth
since points are given,find distance between points using distance formulae
<h2>root over (x2-x1)² +(
y2-y1)²</h2>
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<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>
Now find distance between HI and IJ
HI gives the distance - length of rectangle
IJ gives the distance - breadth of rectangle
use the formulae ,2(length+breadth) to get perimeter
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HI= root over 144+256= root 400
HI=20
IJ= root over 16+9= root 25
IJ=5
PERIMETER =2(20+5)
2×25
=50
The area of wood needed for the frame is 5. 5 + 106 square inches. Option A
<h3>How to determine the area</h3>
The amount of wood needed for the window frame will be equal to area of window frame.
It is important to note that the upper part of window is semicircle
Area of the upper part = π
where,
R = Outer radius,
r = Inner radius.
Area of upper part = π ×
Area of upper part = 11π/2
Area of upper part = 5. 5π
To find the area of the lower part, it is important to note that the area of lower part of frame will be area of 3 different rectangles. Two are the same rectangles with length 48 inches and width 1 inch and one rectangle with length 10 inches (12-2) and width 1 inch.
Area of lower part = 2 × 48 × 1 + 10 × 1
Area of lower part = 96 + 10
Area of lower part = 106 inches
Thus, the area of wood needed for the frame is 5. 5 + 106 square inches. Option A
Learn more about area of a rectangle here:
brainly.com/question/25292087
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Answer:
32°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...
Tan = Opposite/Adjacent
The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...
tan(x) = 5/8
To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.
x = arctan(5/8) ≈ 32°
The value of x rounded to the nearest whole degree is 32°.
Answer:
120 pounds = 54.5 kilogram
Step-by-step explanation:
We know that,
1 kilogram=2.2 pounds
or
1 pound = (1/2.2) kilogram
We need to convert 120 pounds to kilograms.
So, there are 54.5 kilograms in 120 pounds.